This math topic focuses on determining the domain of functions that involve the square root of a linear expression in the numerator and the square root of a quadratic expression in the denominator. Specifically, learners are tasked with mapping the real roots of these expressions on a number line. Each problem presents a different function, and students must choose the correct number line representation of the domain for each function.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Domain - Fraction Root of Linear over Root of Quadratic (Real Roots) to Number Line

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What number line shows the domain of this function?

f(x)=1x55x210x+15f(x) = \frac{\sqrt{1x-5}}{\sqrt{-5x^2-10x+15}}

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